WIMの構築アルゴリズムにおける発育学的検証 : 第2報ラグランジュ補間との比較論議

Abstract

It has been already verified that the WIM (Wavelet Interpolation Method) is possible to just draw polynomial F(x). However, the WIM has not been compared with lagrange interpolation (polynomial) in meaning of growth and development study. This paper is tried to verify the constructive algorithm of the WIM by comparison between wavelet and lagrange interpolation in biological meaning. The algorithm of lagrange interpolation is mathematically explained and applied to the longitudinal growth data from 6 to 17 in height of three boys. The first derivative curves derived by lagrange and wavelet interpolations which were applied to the growth data are compared between the both interpolations. The advantages of the WIM are derived from the discussion in regard to the comparison.